Find the LCM of 629, 838, 736, 736, 184 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 629, 838, 736, 736, 184. So, keep reading to learn more.
Given numbers are 629,838,736,736,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,838,736,736,184 is 193973536.
Find LCM of 629,838,736,736,184 with Prime Factorization
2 | 629, 838, 736, 736, 184 |
2 | 629, 419, 368, 368, 92 |
2 | 629, 419, 184, 184, 46 |
2 | 629, 419, 92, 92, 23 |
2 | 629, 419, 46, 46, 23 |
23 | 629, 419, 23, 23, 23 |
629, 419, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 23 x 629 x 419 x 1 x 1 x 1 = 193973536
Therefore, the lowest common multiple of 629,838,736,736,184 is 193973536.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
629 x 838 x 736 x 736 x 184 = 52537344278528
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
629 : 1, 17, 37, 629
838 : 1, 2, 419, 838
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,838,736,736,184, is 1.
Now, the common factors can be found like this.
629:17x 37
838:2x 419
736:2x 2x 2x 2x 2x 23
736:2x 2x 2x 2x 2x 23
184:2x 2x 2x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 2x 2x 23x 23 = 270848
Therefore, the value for common factors is 270848.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 52537344278528/(1x270848)
LCM = 52537344278528/270848
LCM = 193973536
Thus, we can understand that the LCM of 629,838,736,736,184 is 193973536.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 629, 838, 736, 736, 184?
Answer: LCM of 629, 838, 736, 736, 184 is 193973536.
2. How to calculate the LCM of 629, 838, 736, 736, 184?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 629, 838, 736, 736, 184.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.